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Rus_ich [418]
3 years ago
15

What is the length of ST, to the nearest tenth of a yard?

Mathematics
2 answers:
rewona [7]3 years ago
3 0
Let's say that ST is side b
<span><span>Use the Law of Sines to find side b.</span><span> 
   b / sin(B) = a / sin(A)</span><span> 
b / sin(59°) = 7 / sin(79°)</span><span> 
                b = (sin(59°) x 7) / sin(79°)</span><span> 
                b = 6.112

That is answer B.) 6.1 yards

Hope this helps!</span></span>
Ivenika [448]3 years ago
3 0

Answer: Second Option is correct.

Step-by-step explanation:

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST say x.

We will use " Law of Sines " :

\frac{\sin T}{SR}=\frac{\sin R}{ST}\\\\\frac{\sin 79^\circ}{7}=\frac{\sin 59^\circ}{x}\\\\0.14=\frac{\sin 59^\circ}{x}\\\\x=\frac{\sin 59^\circ}{0.14}\\\\x=6.12\ yd

Hence, the length of ST = 6.1 yd.

Therefore, Second Option is correct.

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What is the area of a circle whose diameter is 64
navik [9.2K]

Answer:

<em>A ≈ 3215.36</em>

Step-by-step explanation:

A = πr²

Radius - D/2

Radius - 64/2 → 32

A = 3.14(32)²

A = <em>3215.36</em>

Hope this helps! :)

5 0
4 years ago
Read 2 more answers
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If
Thepotemich [5.8K]

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then  

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition  

<em>P(A | B) =  P(A∩B)/P(B). </em>

Since  

P(A∩B) = 0, then P(A | B) = 0

Is P(A | B) equal to P(A)?

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

P(A | B) = P(A) and P(B | A) = P(B)

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, <em>A and B are dependent. </em>

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

If A and B are not empty events which are mutually exclusive, they can never be independent.

6 0
4 years ago
A rider sites on a motorcycle. the motorcycle has a mass of 237 kilograms The ride has a mass of 89 kilograms. What is the total
rjkz [21]

Answer:

Step-by-step explanation:

140

4 0
4 years ago
Please help !!!!! Explain to me and need answer quick
schepotkina [342]

Answer:

We can see that the denominators of both the numbers is not same

So in order to make it same for the both numbers, we will multiply the second number by 2/2 ,(which is basically 1 so it won't affect our calculations)

\frac{11}{2^2 * 5^2} - \frac{2}{2^2 * 5^2}

So we will just subtract the numbers now

\frac{9}{2^2 * 5^2} <em>This is the answer </em>

<em>Kindly mark Brainly, Thanks</em>

4 0
3 years ago
The school jazz band consists of 2 male percussionists, 2 female percussionists, 3 male woodwinds, 2 female woodwinds, 4 male br
dusya [7]

Answer:

\frac{1}{8} chance or 12.5% chance

Step-by-step explanation:

2 male <em>percussionists</em>

2 female <em>percussionists</em>

3 male <em>woodwinds</em>

<u>2 </u><u>female</u><u> </u><u><em>woodwinds</em></u>

4 male <em>brass players</em>

3 female <em>brass players</em>

We're looking for a female <em>woodwind. </em>Now there is only 2 of them so we get the female woodwinds out of all the jazz band members or \frac{2}{16} or \frac{1}{8} or 12.5% chance.

6 0
3 years ago
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